This schedule is tentative. It will get more accurate as the semester progresses. As each topic is covered in lecture, the color will be changed from blue to black.
Week #1:
Jan 10 - 14 Homework |
1.1. Systems of Linear Equations.
1.2. Row Reduction and Echelon Forms. 1.3. Vector Equations. |
Week #2:
Jan 17 - 21 Homework |
1.4. The Matrix Equation Ax = b.
1.5. Solution Sets of Linear Systems. 1.7. Linear Independence. Administrative Note: Monday 17 January is Martin Luther King Day. Class will meet. |
Week #3:
Jan 24 - 28 Homework |
1.8. Introduction to Linear Transformations.
1.9. The Matrix of a Linear Transformation. 2.1. Matrix Operations. |
Week #4:
Jan 31 - Feb 4 Homework |
2.2. The Inverse of a Matrix.
2.3. Characterizations of Invertible Matrices. 2.5. Matrix Factorizations. |
Week #5:
Feb 7 - 11 Homework |
2.7. Applications to Computer Graphics.
3.1. Introduction to Determinainants. Administrative Note: Monday 7 February is the Mid-Mini Break. Class will not meet. |
Week #6:
Feb 14 - 18 Homework |
3.2. Properties of Determinants.
4.1. Vector Spaces and Subspaces. Exam #1 will be given on Wednesday 16 February. The exam will be held during your regular class time. Here are some review problems. |
Week #7:
Feb 21 - 25 Homework |
4.2. Null Spaces, Column Spaces, and Linear Transformations.
4.3. Linearly Independent Sets; Bases. 4.4. Coordinate Systems. |
Week #8:
Feb 28 - Mar 4 Homework |
4.5. The Dimension of Vector Space.
4.6. Rank. Administrative note: Friday 4 March is the Mid-Semester Break. Class will not meet. |
Mar 7 - 11 | Spring Break. |
Week #9:
Mar 14 - 18 Homework |
4.7. Change of Basis.
4.9. Applications to Markov Chains. 5.1. Eigenvectors and Eigenvalues. |
Week #10:
Mar 21 - 25 Homework |
5.2. The Characteristic Equation.
5.3. Diagonalization. Exam #2 will be given on Wednesday 23 March. Here are some review problems. |
Week #11:
Mar 28 - Apr 1 Homework |
5.4. Eigenvectors and Linear Transformations.
5.5. Complex Eigenvalues. 5.6. Discrete Dynamical Systems. |
Week #12:
Apr 4 - 8 Homework |
6.1. Inner Product, Length, and Orthogonality.
6.2. Orthogonal Sets. 6.3. Orthogonal Projections. |
Week #13:
Apr 11 - 15 Homework |
6.4. The Gram-Schmidt Process.
6.5. Least-Squares Problems. Administrative Note: Friday 15 April is the Spring Carnival break. Class will not meet. |
Week #14:
Apr 18 - 22 Homework |
7.1. Diagonalization of Symmetric Matrices.
7.2. Quadratic Forms. Exam #3 will be given on Wednesday 20 April. Here is a study guide. |
Week #15:
Apr 25 - 28 |
7.4. The Singular Value Decomposition.
7.5. Applications to Image Processing and Statistics. 2.4. Partitioned Matrices. Administrative note: Friday 28 April is the last day of class. |
Final Exam
May 9 |
Final Exam. Our final exam has been scheduled for Monday 9 May from 5:30-8:30pm. When scheduling your departure, do not plan to leave before May 10. Early exams will not be given. Here are some review problems. |